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40440022242304 = 2101032931308599
BaseRepresentation
bin10010011000111101011010…
…01010010001010000000000
312022012000202200101221111211
421030132231022101100000
520300032131143223204
6222001520104015504
711342460310303636
oct1114365512212000
9168160680357454
1040440022242304
1111981576317483
124651669761594
131974629775289
149db443b99356
154a1e10042804
hex24c7ad291400

40440022242304 has 88 divisors (see below), whose sum is σ = 81904059619200. Its totient is φ = 19955344809984.

The previous prime is 40440022242299. The next prime is 40440022242307. The reversal of 40440022242304 is 40324222004404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40440022242307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30248997 + ... + 31557595.

Almost surely, 240440022242304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40440022242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40952029809600).

40440022242304 is an abundant number, since it is smaller than the sum of its proper divisors (41464037376896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40440022242304 is a wasteful number, since it uses less digits than its factorization.

40440022242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309015 (or 1308997 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 40440022242304 its reverse (40324222004404), we get a palindrome (80764244246708).

The spelling of 40440022242304 in words is "forty trillion, four hundred forty billion, twenty-two million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 293 412 512 586 824 1024 1172 1648 2344 3296 4688 6592 9376 13184 18752 26368 30179 37504 52736 60358 75008 105472 120716 150016 241432 300032 482864 965728 1308599 1931456 2617198 3862912 5234396 7725824 10468792 15451648 20937584 30903296 41875168 83750336 134785697 167500672 269571394 335001344 383419507 539142788 670002688 766839014 1078285576 1340005376 1533678028 2156571152 3067356056 4313142304 6134712112 8626284608 12269424224 17252569216 24538848448 34505138432 39492209221 49077696896 69010276864 78984418442 98155393792 138020553728 157968836884 196310787584 315937673768 392621575168 631875347536 1263750695072 2527501390144 5055002780288 10110005560576 20220011121152 40440022242304